Algebra-1

For the function , the correct description of the range is y > 0. Here’s why:

Analysis

1.Function Definition:

This is an exponential function with base 3.

2.Output Values:

Exponential functions of this form always yield positive values for all real numbers x. This is because:

The base 3 is greater than 1.

Raising 3 to any real number x (whether positive, negative, or zero) will result in a positive number.

3.Behavior at Extremes:

As ,

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